He was among the players released to their provinces as coach Joe Schmidt took a smaller group to Chicago for their opening autumn global against Italy.
Murray, rated the finest halfback in the worldwide game, hasn't played since Ireland clinched their series in Australia last July because of a neck injury.
"His competitiveness, how combative he is, how keen he is to get involved - I thought he did a really good job", said Schmidt after the Argentina victory.
"If I did have some advice for him I wouldn't be telling him through the media", Hansen said on the team's arrival in Dublin to prepare for this weekend's test against Ireland. 'That is the mental state people take out of it, so it is going to be a good one.
"It was vicious but we won in Chicago and they were looking for revenge and we were looking to make it two in a row", he said.
"I always remember the 2013 game and it was one of the toughest matches I had just in terms of the physicality and the breakdown work that went on".
Ireland have struggled at time in the Rugby World Cup, suffering three defeats to the Pumas, but were comfortable winners when the sides met in last last year's autumn series. The All Blacks live in a permanent world of pressure and often for them a test against Namibia is hard to differentiate from a World Cup knockout game or clash with the number two team in the world.
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"I think I described him as a stubborn man on Thursday and I think that ability to bounce back, that resilience he has, could still give him a chance of getting back toward the end of the year and then into the Six Nations".
"But that's a good way for us to try to cope and test ourselves against a really good side, which we know Argentina are".
"Have we been scarred [by losing to Ireland]?"
"Everybody sits there hoping one day he'll come back and put himself back in the mix in New Zealand and we get the benefit of all the experience he's had at an worldwide level and obviously quite a few years successfully at club level as well".
"They should have beaten us in Christchurch". I don't think so.
Rob Kearney is expected to miss out with a shoulder injury, but Johnny Sexton, Rory Best, Tadhg Furlong and Iain Henderson are among the players set to be pressed into action for the first time this month.